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arxiv: 1103.4701 · v1 · pith:YE6PFX2Hnew · submitted 2011-03-24 · 🌊 nlin.SI

Lattice representation and dark solitons of the Fokas-Lenells equation

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keywords equationfokas-lenellsintegrablealreadydarkdevoteddiscussfokas
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This work is devoted to an integrable generalization of the nonlinear Schr\"odinger equation proposed by Fokas and Lenells. I discuss the relationships between this equation and other integrable models. Using the reduction of the Fokas-Lenells equation to the already known ones I obtain the N-dark soliton solutions.

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